If y = e^nx , then n^th derivative of y is :

The correct answer is Option (4) → $n^ny$

$y=e^{nx}$

$⇒\frac{dy}{dx}=ne^{nx}$

$⇒\frac{d^2y}{dx^2}=n^2e^{nx}=n^{derivative}y$   $[y=e^{nx}]$

$⇒\frac{d^ny}{dx^n}=n^ne^{nx}=n^ny$